The correct answer is A (TUV congruent LNM)
Explanation:
Because the points in the triangle names correspond to each other correctly.
Angle T = Angle L
Angle U = Angle N
Angle V = Angle M
Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
25/10= 2.5
So, we know that the larger triangle is bigger than the smaller one by a dilation of 2.5.
14*2.5= 35
x= 35
I hope this helps!
~kaikers
Answer:
The equation that can be used to find d is 
Step-by-step explanation:
Let
d -----> the number of dogs
we know that
The linear equation that represent this situation is
Solve for d
Subtract 17 both sides
Divide by 2 both sides
